| Issue |
EPL
Volume 77, Number 5, March 2007
|
|
|---|---|---|
| Article Number | 58002 | |
| Number of page(s) | 5 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/77/58002 | |
| Published online | 21 February 2007 | |
Growing network with j-redirection
GRAPES, Université de Liège - B5 Sart-Tilman, B-4000 Liège, Belgium
Received:
4
December
2006
Accepted:
8
January
2007
A model for growing information networks is introduced where nodes receive new links through j-redirection, i.e. the probability for a node to receive a link depends on the number of paths of length j arriving at this node. In detail, when a new node enters the network, it either connects to a randomly selected node, or to the j-ancestor of this selected node. The j-ancestor is found by following j links from the randomly selected node. The system is shown to undergo a transition to a phase where condensates develop. We also find analytical predictions for the height statistics and show numerically the non-trivial behaviour of the degree distribution.
PACS: 89.75.Fb – Structures and organization in complex systems / 87.23.Ge – Dynamics of social systems / 89.75.Hc – Networks and genealogical trees
© Europhysics Letters Association, 2007
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